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Finding the Third Proportional to 86,130 and 184,713

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Solution

The third proportional to 86,130 and 184,713 is: 396,132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,130 : 184,713 = 184,713 : x
  2. Step 2: Convert to fraction form
    86,130/184,713 = 184,713/x
  3. Step 3: Cross multiply
    86,130x = 184,713 × 184,713
  4. Step 4: Simplify right side
    86,130x = 34,118,892,369
  5. Step 5: Solve for x
    x = 34,118,892,369/86,130
  6. Step 6: Final answer
    x = 396,132.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.